You want to choose one long distance telephone company from the following options:

Company A charges $0.32 dollars per minute (no fixed monthly charge).
Company B charges $13.95 per month plus $0.2 per minute.
Company C charges a fixed rate of $50 per month.

Let , , and denote the monthly charges of Company A, B, and C respectively for spending minutes on long distance calls.

(a) Find a formula for the monthly cost of using Company A, :

(b) Find a formula for the monthly cost of using Company B, :

(c) Find a formula for the monthly cost of using Company C, :

(d) If you spend 125 minutes talking long distance in a month, which of the three companies will be cheapest? Enter the letter (A, B, or C) here:

(e) Given the graph below, match the number of each graph to corresponding company it represents:


Company A
Company B
Company C

You can earn partial credit on this problem.